{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "24bef507",
   "metadata": {},
   "source": [
    "SARSA算法因为是同策略,理论上不能用池化,所以这里来实现无池化版本的代码"
   ]
  },
  {
   "cell_type": "code",
   "id": "a8392954",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-12-29T11:18:25.450975Z",
     "start_time": "2024-12-29T11:18:25.382130Z"
    }
   },
   "source": [
    "import gym\n",
    "\n",
    "\n",
    "#定义环境\n",
    "class MyWrapper(gym.Wrapper):\n",
    "\n",
    "    def __init__(self):\n",
    "        #is_slippery控制会不会滑\n",
    "        env = gym.make('FrozenLake-v1',\n",
    "                       render_mode='rgb_array',\n",
    "                       is_slippery=False)\n",
    "\n",
    "        super().__init__(env)\n",
    "        self.env = env\n",
    "\n",
    "    def reset(self):\n",
    "        state, _ = self.env.reset()\n",
    "        return state\n",
    "\n",
    "    def step(self, action):\n",
    "        state, reward, terminated, truncated, info = self.env.step(action)\n",
    "        over = terminated or truncated\n",
    "\n",
    "        #走一步扣一份,逼迫机器人尽快结束游戏\n",
    "        if not over:\n",
    "            reward = -1\n",
    "\n",
    "        #掉坑扣100分\n",
    "        if over and reward == 0:\n",
    "            reward = -100\n",
    "\n",
    "        return state, reward, over\n",
    "\n",
    "    #打印游戏图像\n",
    "    def show(self):\n",
    "        from matplotlib import pyplot as plt\n",
    "        plt.figure(figsize=(3, 3))\n",
    "        plt.imshow(self.env.render())\n",
    "        plt.show()\n",
    "\n",
    "\n",
    "env = MyWrapper()\n",
    "\n",
    "env.reset()\n",
    "\n",
    "env.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 6
  },
  {
   "cell_type": "code",
   "id": "add00741",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-12-29T11:18:25.465994Z",
     "start_time": "2024-12-29T11:18:25.461483Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "\n",
    "#初始化Q表,定义了每个状态下每个动作的价值\n",
    "Q = np.zeros((16, 4))\n",
    "\n",
    "Q"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 7
  },
  {
   "cell_type": "code",
   "id": "84cbf0ff",
   "metadata": {
    "scrolled": true,
    "ExecuteTime": {
     "end_time": "2024-12-29T11:18:25.561495Z",
     "start_time": "2024-12-29T11:18:25.534652Z"
    }
   },
   "source": [
    "from IPython import display\n",
    "import random\n",
    "\n",
    "\n",
    "#玩一局游戏并记录数据\n",
    "def play(show=False):\n",
    "    data = []\n",
    "    reward_sum = 0\n",
    "\n",
    "    state = env.reset()\n",
    "    over = False\n",
    "    while not over:\n",
    "        action = Q[state].argmax()\n",
    "        if random.random() < 0.1:\n",
    "            action = env.action_space.sample()\n",
    "\n",
    "        next_state, reward, over = env.step(action)\n",
    "\n",
    "        data.append((state, action, reward, next_state, over))\n",
    "        reward_sum += reward\n",
    "\n",
    "        state = next_state\n",
    "\n",
    "        if show:\n",
    "            display.clear_output(wait=True)\n",
    "            env.show()\n",
    "\n",
    "    return data, reward_sum\n",
    "\n",
    "\n",
    "play()[-1]"
   ],
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\app\\anaconda3\\install\\envs\\pytorch_env_3_8\\lib\\site-packages\\gym\\utils\\passive_env_checker.py:233: DeprecationWarning: `np.bool8` is a deprecated alias for `np.bool_`.  (Deprecated NumPy 1.24)\n",
      "  if not isinstance(terminated, (bool, np.bool8)):\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "-151"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 8
  },
  {
   "cell_type": "code",
   "id": "018c4b1e",
   "metadata": {
    "scrolled": true,
    "ExecuteTime": {
     "end_time": "2024-12-29T11:18:25.723602Z",
     "start_time": "2024-12-29T11:18:25.588660Z"
    }
   },
   "source": [
    "#训练\n",
    "def train():\n",
    "    #共更新N轮数据\n",
    "    for epoch in range(2000):\n",
    "\n",
    "        #玩一局游戏并得到数据\n",
    "        for (state, action, reward, next_state, over) in play()[0]:\n",
    "\n",
    "            #Q矩阵当前估计的state下action的价值\n",
    "            value = Q[state, action]\n",
    "\n",
    "            #实际玩了之后得到的reward+(next_state,next_action)的价值*0.9\n",
    "            target = reward + Q[next_state, Q[next_state].argmax()] * 0.9\n",
    "\n",
    "            #value和target应该是相等的,说明Q矩阵的评估准确\n",
    "            #如果有误差,则应该以target为准更新Q表,修正它的偏差\n",
    "            #这就是TD误差,指评估值之间的偏差,以实际成分高的评估为准进行修正\n",
    "            update = (target - value) * 0.02\n",
    "\n",
    "            #更新Q表\n",
    "            Q[state, action] += update\n",
    "\n",
    "        if epoch % 100 == 0:\n",
    "            print(epoch, play()[-1])\n",
    "\n",
    "\n",
    "train()"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 -103\n",
      "100 -103\n",
      "200 -6.0\n",
      "300 -6.0\n",
      "400 -106\n",
      "500 -4.0\n",
      "600 -4.0\n",
      "700 -4.0\n",
      "800 -4.0\n",
      "900 -4.0\n",
      "1000 -4.0\n",
      "1100 -102\n",
      "1200 -4.0\n",
      "1300 -4.0\n",
      "1400 -4.0\n",
      "1500 -102\n",
      "1600 -4.0\n",
      "1700 -4.0\n",
      "1800 -4.0\n",
      "1900 -5.0\n"
     ]
    }
   ],
   "execution_count": 9
  },
  {
   "cell_type": "code",
   "id": "a101d0e6",
   "metadata": {},
   "source": [
    "play(True)[-1]"
   ],
   "execution_count": 12,
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-4.0"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
